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Finding the Fourth Proportional to 71,262.40, 106,864.80 and 24,491.20

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Solution

The fourth proportional to 71,262.40, 106,864.80 and 24,491.20 is: 36,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,262.40 : 106,864.80 = 24,491.20 : x
  2. Step 2: Convert to fraction form
    71,262.40/106,864.80 = 24,491.20/x
  3. Step 3: Cross multiply
    71,262.40x = 106,864.80 × 24,491.20
  4. Step 4: Simplify right side
    71,262.40x = 2,617,247,189.76
  5. Step 5: Solve for x
    x = 2,617,247,189.76/71,262.40
  6. Step 6: Final answer
    x = 36,726.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.